document.write( "Question 551953: two buses depart from the bus staions 360 miles apart. the second bus is 10 miles per hour faster than the first. after 2 hours they are still 120 miles apart. find the rates of the buses. \n" ); document.write( "

Algebra.Com's Answer #360007 by josmiceli(19441) $\"\"$ $\"About$

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The buses must be driving toward each other, since
\n" ); document.write( "the distance between them is getting smaller.
\n" ); document.write( "Think of one bus a standing still and the other bus
\n" ); document.write( "moving at the sum of their speeds.
\n" ); document.write( "Let $\"+s+\"$ mi/hr = the speed of the slower bus.
\n" ); document.write( " $\"+s+%2B+10+\"$ mi/hr = the speed of the faster bus
\n" ); document.write( "----------------------------------------
\n" ); document.write( "In $\"+2+\"$ hrs, they travel $\"+360+-+120+=+240+\"$ mi
\n" ); document.write( "given:
\n" ); document.write( " $\"+240+=+%28+s+%2B+s+%2B+10+%29%2A2+\"$
\n" ); document.write( " $\"+240+=+%28+2s+%2B+10+%29%2A2+\"$
\n" ); document.write( " $\"+240+=+4s+%2B+20+\"$
\n" ); document.write( " $\"+4s+=+240+-+20+\"$
\n" ); document.write( " $\"+4s+=+220+\"$
\n" ); document.write( " $\"+s+=+55+\"$
\n" ); document.write( " $\"+s+%2B+10+=+65+\"$
\n" ); document.write( "The speeds of the buses are 55 mi/hr and 65 mi/hr \n" ); document.write( "

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